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1304128 = 2674171
BaseRepresentation
bin100111110011001000000
32110020221001
410332121000
5313213003
643541344
714041060
oct4763100
92406831
101304128
118108a1
1252a854
13368797
1425d3a0
151ab61d
hex13e640

1304128 has 56 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 537600.

The previous prime is 1304113. The next prime is 1304129. The reversal of 1304128 is 8214031.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1304129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18333 + ... + 18403.

It is an arithmetic number, because the mean of its divisors is an integer number (54864).

21304128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

1304128 is an abundant number, since it is smaller than the sum of its proper divisors (1768256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1304128 is an equidigital number, since it uses as much as digits as its factorization.

1304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1304128 is about 1141.9842380699. The cubic root of 1304128 is about 109.2546859872.

Adding to 1304128 its reverse (8214031), we get a palindrome (9518159).

Subtracting 1304128 from its reverse (8214031), we obtain a triangular number (6909903 = T3717).

The spelling of 1304128 in words is "one million, three hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 71 82 112 142 164 224 284 287 328 448 497 568 574 656 994 1136 1148 1312 1988 2272 2296 2624 2911 3976 4544 4592 5822 7952 9184 11644 15904 18368 20377 23288 31808 40754 46576 81508 93152 163016 186304 326032 652064 1304128